Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
89298v |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1862784 |
Modular degree for the optimal curve |
Δ |
-7174169120529962496 = -1 · 29 · 313 · 118 · 41 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11- -1 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-206388,133877200] |
[a1,a2,a3,a4,a6] |
Generators |
[-553:9146:1] |
Generators of the group modulo torsion |
j |
-6221702113/45909504 |
j-invariant |
L |
3.1347252963085 |
L(r)(E,1)/r! |
Ω |
0.20238736511794 |
Real period |
R |
3.8721850320808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999976842 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29766bj1 89298ct1 |
Quadratic twists by: -3 -11 |